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Finding the Third Proportional to 101,750 and 155,661

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Solution

The third proportional to 101,750 and 155,661 is: 238,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,750 : 155,661 = 155,661 : x
  2. Step 2: Convert to fraction form
    101,750/155,661 = 155,661/x
  3. Step 3: Cross multiply
    101,750x = 155,661 × 155,661
  4. Step 4: Simplify right side
    101,750x = 24,230,346,921
  5. Step 5: Solve for x
    x = 24,230,346,921/101,750
  6. Step 6: Final answer
    x = 238,136.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.